The mass-critical fourth-order Schrodinger equation in high dimensions

Details The mass-critical fourth-order Schrodinger equation in high dimensions The mass-critical fourth-order Schrodinger equation in high dimensions

2009-06-08

arxiv.org/abs/0906.1547v2

Mathematics

Analysis of PDEs

49 pages

Scientific paper

We prove global wellposedness and scattering for the Mass-critical
homogeneous fourth-order Schrodinger equation in high dimensions n>4, for
general L^2 initial data in the defocusing case, and for general initial data
with Mass less than certain fraction of the Mass of the Ground State in the
focusing case.

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